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Overview"This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare. Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry. The implications of these discoveries continue to be important to this day in numerous different areas of mathematics. This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts. This book is the second in an informal sequence of works called ""History of Mathematics, Sources"", to be included within the History of Mathematics series, co-published by the AMS and the London Mathematical Society. Volumes to be published within this subset are classical mathematical works that served as cornerstones for modern mathematical thought. (For another historical translation on this topic, see Sources of Hyperbolic Geometry, volume 10 in the History of Mathematics series.) Co-published with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners." Full Product DetailsAuthor: Jacques Hadamard , Jeremy Gray , Abe ShenitzerPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 17 Weight: 0.220kg ISBN: 9780821820308ISBN 10: 0821820303 Pages: 102 Publication Date: 30 November 1999 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsHistorical introduction A brief history of automorphic function theory, 1880-1930 The group of motions of the hyperbolic plane and its properly discontinuous subgroups Discontinuous groups in three geometries. Fuchsian functions Fuchsian functions Kleinian groups and functions Algebraic functions and linear algebraic differential equations Fuchsian groups and geodesics References Additional references.ReviewsJeremy Gray and Abe Shenitzer deserve the gratitude of the entire mathematical community for bringing out this Hadamard volume ... This is an important addition to the literature, of great interest both to mathematical historians and to anyone with even a passing acquaintance with non-Euclidean geometry and automorphic functions ... this book is essential reading. Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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